Jenny is building a rectangular garden around a tree in her yard. The southwest corner of the garden will be 2 feet south and 3 feet west of the tree. The northeast corner of the garden will be 1 foot north and 4 feet east of the tree. If jenny paves a path around the garden that is uniformly 3 feet wide, then what is the area of he path?

20 ft

Draw the diagram of what is given. Clearly the garden is 3x7.

So, the dimensions of the entire area of garden+path is 9x13.

The area of the path is thus 9*13-3*7

To find the area of the path, we first need to determine the dimensions of the garden itself.

Let's start by visualizing the problem. We have a rectangular garden, and the southwest corner is 2 feet south and 3 feet west of the tree. The northeast corner is 1 foot north and 4 feet east of the tree.

To find the dimensions of the garden, we can subtract the distances from the southwest corner to the northeast corner.

The length of the garden can be calculated as follows:
Length = Distance between southwest and northeast corners - (Distance to the west + Distance to the east)
Length = (2 feet + 1 foot) - 3 feet
Length = 3 feet - 3 feet
Length = 0 feet

As we can see, the length of the garden is 0 feet. This indicates that the garden is actually just a line. Therefore, we won't have a garden area, but we can determine the area of the path surrounding it.

Since the path is uniformly 3 feet wide, the path will extend 3 feet in each direction from the line (garden).

Thus, the total width of the garden including the path is 6 feet (3 feet on one side of the garden + 0 feet of garden + 3 feet on the other side of the garden).

To find the area of the path, we multiply the width by the length (which is 0 feet since the garden is just a line).

Area of the path = Length × Width
Area of the path = 0 feet × 6 feet
Area of the path = 0 square feet

Therefore, the area of the path is 0 square feet.

The correct answer is 96ft not 20ft.